Solve x2 - 16x + 60 = -12 by completing the steps. first, subtract 60 from each side of the equation. next, add to each side of the equation to complete the square.

x^2 - 16x + 60 = -12

Step 1):

x^2 - 16x = -72

Step 2) Add 64 to both sides

x^2 - 16x + 64 = -8

Then factor:

(x-8)^2 = -8

Square root both sides:

x - 8 = sqrt(-8)

You cannot take the square root of a negative number.  Thus, this equation has NO SOLUTION.

The answer is NO SOLUTION

Step-by-step explanation:

Firstly, we have to subtract 60 from each side of the equation:

Then, to complete a square of a binomial, the rules are:

Let a square of a binomial, its expansion is:

So,

Then , we have the first term that is and the second term is because .

Therefore, we need to add 64 (=) from each side of the equation:

Finally, we know that it doesn't exist negative square root in the real number group, so there are not "x" values to solve the equation.

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step-by-step explanation:

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